10068734160 has 240 divisors, whose sum is σ = 37130498496. Its totient is φ = 2526971904.

The previous prime is 10068734119. The next prime is 10068734167. The reversal of 10068734160 is 6143786001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10068734167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315247 + ... + 345713.

Almost surely, 2^10068734160 is an apocalyptic number.

10068734160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10068734160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18565249248).

10068734160 is an abundant number, since it is smaller than the sum of its proper divisors (27061764336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10068734160 is a wasteful number, since it uses less digits than its factorization.

10068734160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30512 (or 30494 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10068734160 in words is "ten billion, sixty-eight million, seven hundred thirty-four thousand, one hundred sixty".